UNIT REVIEW: MOMENTUM & ENERGY |
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1. Match the terms with the definitions, below:
_____kinetic energy
_____elastic potential energy
_____gravitational potential energy
_____impulse
_____momentum
_____inelastic
_____elastic
_____Hooke's law spring
_____conservation of energy
_____force
_____work
_____thermal energy
A. The rate of change of momentum
B. The energy stored due to the vertical position of an object
C. A collision in which both momentum and kinetic energy are conserved is ________.
D. Transfer of mechanical energy when force is applied over some distance.
E. A collision in which momentum is conserved but kinetic energy is not.
F. The form of energy that accumulates when an elastic object is bent, stretched or compressed.
G. Product of an object's mass times velocity.
2. A 48.0 kg skateboarder kicks his 7.0 kg board ahead with a velocity of 2.6 m/s [E]. If he
runs with a velocity of 3.2 m/s [E] and jumps onto the skateboard, what is the velocity of
the skateboard and skateboarder immediately after he jumps on the board?
ANSWER:     v' = 3.12 m/s [E]
3. A 750 g red ball traveling 0.30 m/s[E] approaches a 550 g blue ball traveling at 0.50
m/s[W]. They suffer a glancing collision. The red ball moves away at 0.15 m/s[E 30 S].
What is the velocity of the blue ball after the collision?
ANSWER:     v' =
4. A 35 kg child is jumping on a pogo stick. If the spring has a spring constant of 4945 N/m
and it is compressed 25 cm, how high will the child bounce? (Assume the mass of the
pogo stick is negligible)
ANSWER:     h = 0.45 m
5. A block of wood with a mass of 0.500 kg slides across the floor towards a 3.50 kg block
of wood. Just before the collision, the small block is traveling at 3.15 m/s. Because some
nails are sticking out of the blocks, the blocks stick together when they collide. Scratch
marks on the floor show that they slid 2.63 cm before coming to a stop. What is the
coefficient of friction between the wooden blocks and the floor?
ANSWER:     coefficient of friction = 0.32
6. In an amusement park there is a ride on which children site in a simulated log while it
slides rapidly down a water-covered slope. At the bottom, the log slams into a trough of
water, which slows it down. Why did the ride designers not simply have the log slam into
a large perfectly elastic spring?
ANSWER:     The log boat would keep bouncing back up the slope forever, if spring were ideal
7.   A 4.0 kg ball moving to the right at 5.0 m/s collides head-on with a 2.0 kg ball moving to the left at 4.0 m/s. If the collision is elastic, determine the direction and speed of each ball after the collision.
ANSWER:    
v'(1) = -1.0 m/s (or 1.0 m/s[left])
v'(2) = 8.0 m/s [right])
8. A 200 kg car is parked atop a roller coaster which is 20 m tall. It is resting against an ideal spring which is compressed 0.50 m from its resting position. The spring constant is 5000 N/m
The spring is released and the car begins to move along and down the track.
(A) Find the velocity of the car at point C on the track, which is at an elevation of 5 m off the ground.
ANSWER:     v' = 17.3 m/s [fwd]
(B) If a braking force of 10,000 N is applied to oppose the forward motion of the car
at point C, what is the distance the car would travel before coming to a complete
stop?
ANSWER:     d = 3.0 m